Stability, bifurcation and chaos control of a discretized Leslie prey-predator model

被引：37

作者：

Akhtar, S. ^{[1
]}

Ahmed, R. ^{[2
]}

Batool, M. ^{[1
]}

Shah, Nehad Ali ^{[3
,4
]}

Chung, Jae Dong ^{[3
]}

机构：

[1] Khawaja Fareed Univ Engn & Informat Technol, Dept Math, Fac Nat Sci, Rahim Yar Khan 64100, Pakistan

[2] Natl Coll Business Adm & Econ, Rahim Yar Khan, Pakistan

[3] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

[4] Lahore Leads Univ, Dept Math, Lahore, Pakistan

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 152卷

关键词：

D O I：

10.1016/j.chaos.2021.111345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a variety of purposes, discrete-time models are superior to continuous-time models. Many techniques are introduced to discretize continuous-time models. In this paper, a non-standard finite difference scheme is used to discretize a continuous-time Leslie prey-predator model. We study the local stability of the fixed points and Neimark-Sacker bifurcation at the positive fixed point. Moreover, hybrid control technique is used to control chaos and bifurcation in the model at the positive fixed point. Numerical simulations are provided to illustrate the theoretical discussion. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：10

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